Writing Expressions
Write an expression for the total cost of g pounds of grapes ($2.19/lb), b pounds of bananas ($0.59/lb), and p pounds of pears ($1.49/lb).
2.19g + 0.59b + 1.49p
Simplify: 2(10) + 2(x – 4).
2x + 12
Combine: 3x - 4x.
-1x
What is the GCF of 8a and 16c?
8
Evaluate 8(a + 2c) when a = –5 and c = –1.
–56
What is the total cost for 3 lbs of grapes, 3 lbs of bananas, and 2 lbs of pears?
$10.52
8x + 16 + 7x – 9.
15x + 7
Combine: 6a + 3b + 4a + 7b.
10a + 10b
Factor 8a + 16c.
8(a + 2c)
Evaluate –12b + 6c + 18 when b = 2 and c = –3.
Answer: –6
If Lukas drove 4x – 5 miles on Saturday and 3x – 10 on Sunday, what is the difference in miles?
x + 5
–4b + 8c + 12 – 8b – 2c + 6.
–12b + 6c + 18
Combine: 9y + 2 – 4y + 6.
5y + 8
Factor –3x – 9 completely.
3(x + 3)
There are 11.5 oz of cereal and it increases by 2.25 oz/sec. How much after 4 sec?
20.5 oz
Which expressions are equivalent to –(3x – 9)?
–3x + 9 or –3(x – 3)
Simplify: –3x – 9.
–3(x + 3) or –3x – 9
2x + 3y – 5x + 8 – 2y.
–3x + y + 8
Factor 15a – 25b completely.
5(3a – 5b)
Evaluate 2x + 5y when x = 3 and y = 4.
26
Which of these are equivalent to –(2/5)(15 – 20d + 5c)?
–6 + 8d – 2c and –2(3 – 4d + c)
Simplify completely: 5(2x + 3) – 3(4x – 1).
–2x + 18
–4m + 6n – 2m + 3n – 9.
–6m + 9n – 9
Factor –12b + 6c + 18 using the GCF.
6(–2b + c + 3)
Evaluate –3(x – 3) + 5 when x = 2.
11